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Finding the Third Proportional to 73.31 and 107.53

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Solution

The third proportional to 73.31 and 107.53 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.31 : 107.53 = 107.53 : x
  2. Step 2: Convert to fraction form
    73.31/107.53 = 107.53/x
  3. Step 3: Cross multiply
    73.31x = 107.53 × 107.53
  4. Step 4: Simplify right side
    73.31x = 11,562.97
  5. Step 5: Solve for x
    x = 11,562.97/73.31
  6. Step 6: Final answer
    x = 157.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.